A general methodology for symbolically generating manufactured solutions satisfying prescribed conditions: application to two-phase flows equations. (English) Zbl 07920021
MSC:
68W30
Found 541 Documents (Results 1–100)
Multiple pole solutions of the Hirota equation under nonzero boundary conditions by inverse scattering method. (English) Zbl 1541.35465
Solitons and traveling waves structure for the Schrödinger-Hirota model in fluids. (English) Zbl 1542.35110
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations. (English) Zbl 1537.35418
Linear difference operators with sequence coefficients having infinite-dimentional solution spaces. (English) Zbl 07846170
MSC:
68W30
Bounded traveling wave solutions of a (2+1)-dimensional breaking soliton equation. (English) Zbl 1527.35338
Solution of the initial boundary value problem in symbolic form. (Russian. English summary) Zbl 1538.65473
Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation. (English) Zbl 1530.35210
Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047
Reviewer: Gema Maria Diaz Toca (Murcia)
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky (KD) system. (English) Zbl 1518.35568
Reviewer: Jipeng Cheng (Xuzhou)
Symbolic-numerical modeling of the propagation of adiabatic waveguide mode in a smooth waveguide transition. (English. Russian original) Zbl 1520.78029
Comput. Math. Math. Phys. 63, No. 1, 96-105 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 112-122 (2023).
The algebro-geometric method: solving algebraic differential equations by parametrizations. (English) Zbl 1523.34002
Reviewer: Maria Filipkovska (Kharkiv)
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables. (English) Zbl 1502.34017
Evolution of the wave pattern for piecewise linear uniaxial tension and compression of a heteromodulus elastic bar. (Russian. English summary) Zbl 1543.74059
Sib. Zh. Ind. Mat. 25, No. 4, 54-70 (2022); translation in J. Appl. Ind. Math. 16, No. 4, 645-658 (2022).
Rational solutions and rogue waves of the generalized \((2+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1540.35360
Numerical solution of singularly perturbed 2D parabolic initial-boundary-value problems based on reproducing kernel theory: error and stability analysis. (English) Zbl 1533.65203
Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. (English) Zbl 1519.35267
General algorithm for analytical calculations of Jacobi matrix elements in sparse nonlinear programming problems. (English. Russian original) Zbl 1519.90236
Mosc. Univ. Comput. Math. Cybern. 46, No. 4, 183-196 (2022); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 4, 14-27 (2022).
MSC:
90C30
Nonlinear spin dynamics of a couple of nonlinear Schrödinger’s equations by the improved form of an analytical method. (English) Zbl 1538.35343
Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations. (English) Zbl 1490.35488
Symbolic solutions of algebraic ODEs: a comparison of methods. (English) Zbl 1499.34004
Reviewer: Anthony D. Osborne (Keele)
Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure. (English) Zbl 1540.35359
Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation. (English) Zbl 1534.76015
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Exact solutions of nonlinear equations in mathematical physics via negative power expansion method. (English) Zbl 1490.35378
Lump-type solutions of a new extended \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1489.35232
Primitive recursive ordered fields and some applications. (English) Zbl 07497964
Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 353-369 (2021).
MSC:
68W30
Symbolic-numeric methods on computing isolated singular solutions of algebraic systems. (Chinese. English summary) Zbl 1499.65189
Global dynamics on one-dimensional excitable media. (English) Zbl 1486.35114
Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy)
Rational Liouvillian solutions of algebraic ordinary differential equations of order one. (English) Zbl 1478.14087
Reviewer: Franz Winkler (Linz)
Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation. (English) Zbl 1486.35360
N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation. (English) Zbl 1479.35732
General nucleation-growth type kinetic models of nanoparticle formation: possibilities of finding analytical solutions. (English) Zbl 1478.82013
Binary solutions to large systems of linear equations. (Russian. English summary) Zbl 1528.68145
Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation. (English) Zbl 1469.35084
Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision. (English) Zbl 1535.03231
Solving determinantal systems using homotopy techniques. (English) Zbl 1461.13034
Reviewer: Amir Hashemi (Isfahan)
Symbolic-numeric study of geometric properties of adiabatic waveguide modes. (English) Zbl 07635832
Boulier, François (ed.) et al., Computer algebra in scientific computing. 22nd international workshop, CASC 2020, Linz, Austria, September 14–18, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12291, 228-244 (2020).
MSC:
68W30
The complexity and parallel implementation of two sparse multivariate Hensel lifting algorithms for polynomial factorization. (English) Zbl 1511.68344
Boulier, François (ed.) et al., Computer algebra in scientific computing. 22nd international workshop, CASC 2020, Linz, Austria, September 14–18, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12291, 150-169 (2020).
Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method. (English) Zbl 1485.35383
Rational solutions and their interaction solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1478.35090
Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms. (English) Zbl 1464.35289
Novel interaction phenomena of localised waves in the \((2 + 1)\)-dimensional HSI equation. (English) Zbl 1464.35302
Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation. (English) Zbl 1464.35278
Symbolic computation of new exact solutions for some nonlinear equations in mathematical physics. (Chinese. English summary) Zbl 1463.68144
A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation. (English) Zbl 1451.35155
New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. (English) Zbl 1451.35052
Novel interaction phenomena of the \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1451.35177
Rogue wave solutions to a \((2+1)\)-dimensional Boussinesq equation. (Chinese. English summary) Zbl 1463.35451
MSC:
35Q53
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation. (English) Zbl 1450.35115
Mathematical studies of the solution of Burgers’ equations by Adomian decomposition method. (English) Zbl 1447.35012
Solving first order autonomous algebraic ordinary differential equations by places. (English) Zbl 1445.12003
Reviewer: Vladimir P. Kostov (Nice)
Lump solutions to a generalized Hietarinta-type equation via symbolic computation. (English) Zbl 1442.35366
Practical MATLAB modeling with Simulink. Programming and simulating ordinary and partial differential equations. (English) Zbl 1483.65002
Berkeley, CA: Apress (ISBN 978-1-4842-5798-2/pbk; 978-1-4842-5799-9/ebook). xxii, 473 p. (2020).
Reviewer: Michael Jung (Dresden)
Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1435.35296
Real monodromy action. (English) Zbl 1433.65094
A search for lump solutions to a combined fourth-order nonlinear PDE in (2+1)-dimensions. (English) Zbl 1464.35287
New abundant wave solutions of the conformable space-time fractional \((4+1)\)-dimensional Fokas equation in water waves. (English) Zbl 1442.35507
A solution set-based entropy principle for constitutive modeling in mechanics. (English) Zbl 1442.74033
MSC:
74Axx
Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves. (English) Zbl 1481.74408
MSC:
74J30
The third and fourth order rogue wave solutions of the \( (2+1)\)-dimensional generalized Camassa-Holm-Kadomtsev-Petviashvili equation. (Chinese. English summary) Zbl 1438.35350
MSC:
35Q53
Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions. (English) Zbl 1421.35314
Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients. (English) Zbl 1415.65171
Is every irreducible polynomial reducible after a polynomial substitution? (English) Zbl 1435.11068
Reviewer: Mahadi Ddamulira (Graz)
The families of explicit solutions for the Hirota equation. (English) Zbl 1460.35311
Reviewer: Catalin Popa (Iaşi)
Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. (English) Zbl 1459.34033
Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1488.35466
Lump and rogue wave solutions of a reduced \((3 + 1)\)-dimensional shallow water equation. (English) Zbl 1464.35281
A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation. (English) Zbl 1434.35147
Interaction solutions for a dimensionally reduced Hirota bilinear equation. (English) Zbl 1434.35155
New exact solutions and kind wave excitations of the \((2+1)\)-dimensional dissipative Zabolotskaya-Khokhlov equation. (English) Zbl 1433.35329
Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential. (English) Zbl 1412.65059
Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194
Reviewer: Sonia Pérez Díaz (Madrid)
Lie symmetry reductions and solitary wave solutions of modified equal width wave equation. (English) Zbl 1402.35020
Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs. (English) Zbl 1401.35261
Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation. (English) Zbl 1403.35261
Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs (extended abstract). (English) Zbl 1509.03143
Manea, Florin (ed.) et al., Sailing routes in the world of computation. 14th conference on computability in Europe, CiE 2018, Kiel, Germany, July 30 – August 3, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10936, 376-385 (2018).
A series of the solutions for the Heisenberg ferromagnetic spin chain equation. (English) Zbl 1394.35507
Super-exponentially convergent parallel algorithm for a fractional eigenvalue problem of Jacobi-type. (English) Zbl 1382.65216
Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree. (English) Zbl 1393.34038
Reviewer: Gennaro Infante (Arcavata di Rende)
Bright solitons for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber. (English) Zbl 1510.35113
Two fast parallel GCD algorithms of many integers. (English) Zbl 1457.11172
Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 397-404 (2017).
Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation. (English) Zbl 1420.35298
Lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation. (Chinese. English summary) Zbl 1399.35318
The method of collocations and least residuals combining the integral form of collocation equations and the matching differential relations at the solution of PDEs. (English) Zbl 1455.65217
Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 19th international workshop, CASC 2017, Beijing, China, September 18–22, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10490, 346-361 (2017).
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